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A : The foci of the hyperbola ((x+2)^(2...

A : The foci of the hyperbola ` ((x+2)^(2))/( 9) -(( y-3) ^(2))/( 27) = 1 ` are (4,3) ,(-8,3).
R : The foci of the hyperbola ` ((x-alpha )^(2))/( a^(2)) -((y-beta )^(2))/( b^(2) ) =1 ` are ` ( alpha +- ae , beta ) `

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The foci of the hyperbola 2x^(2) -y^(2) -4x + 4y -10 =0 are

    A
    ` ( +-sqrt( 13) ,0) `
    B
    ` (1+ - 2sqrt3,2) `
    C
    ` (2+- 3sqrt3 ,3) `
    D
    ` (3+-3sqrt3,2) `

  • A: The focus of the parabola (y-3)^(2)=6(x+3) is (-3//2,2) . R : The focus of the parabola (y-beta)^(2)=+-4a(x-alpha) is (alpha+-a,beta) .

    A
    Both A and R are true and R is the correct explanation of A
    B
    Both A and R are true but R is not correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is true

  • The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0 is

    A
    4
    B
    6
    C
    8
    D
    10

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